Gitam University releases Notification for Admission to Undergraduate programmes in all it’s campuses.GAT (UGT )2013 is of computer based Examination to be conducted from 17th April to 8th May 2013 at different centres. Exam will be of multiple choice type with duration of 2 hrs. The pattern is as follows:

Section

Subject

No. of Questions

No. of Marks

A

Mathematics / Biology

40

120

B

Physics

30

90

C

Chemistry

30

90

Total

100

300

Candidates are informed that we are mentioning the syllabus of Mathematics for GAT(UGT) 2013 to facilitate themselves and to prepare well for the exam:

2. ELEMENTS OF VECTORS: Classification of physical quantities as vectors and scalars Geometrical representation of vectors – Addition and subtraction of vectors. Laws of addition of vectors – Equal and null vectors. Unit vectors – Unit vectors in Cartesian co-ordinate system – position vector and its magnitude. Parallelogram law of vectors – Expression for the resultant vector. Triangle law and polygon law of vectors – concept of relative velocity- application to relative motion of a boat in a river. Multiplication of a vector with a scalar – Scalar product with examples of work and energy – Vector product with examples of torque and angular momentum – Vector and Scalar product of unit vectors.

3. KINEMATICS: Description of Uniform and accelerated motion using velocitytime and position-time graphs; Concept of acceleration due to gravity -Equations of motion of freely falling body – vertically projected body from ground and tower – Projectiles with examples – Oblique projection from ground and horizontal projection from the top of tower – Path of projectile. Maximum height, time of flight and range. Concept of resultant force.

2. FRICTION: Introduction-Cause of friction, advantages of friction, disadvantages of friction, methods of reducing friction. Types of friction: Static friction, Dynamic friction and rolling friction. Distinction between Static and dynamic friction. Normal reaction – laws of friction, static friction, Kinetic friction or Dynamic friction, Rolling friction. Angle of friction, motion of body on rough horizontal plane, motion of bodies on an inclined plane, body at rest on the plane, angle of repose when the body is just ready to slide, when the body is sliding down. Motion of a body on smooth inclined plane, body sliding down the plane, body sliding up the plane. Motion along rough inclined plane, body sliding down the plane, body sliding up the plane. Pushing and pulling of a lawn roller. A lawn roller on a horizontal surface pulled by an inclined force, a roller on horizontal surface pushed by an inclined force.

UNIT-III1. CENTRE OF MASS: Introduction, Centre of mass, difference between centre of mass and centre of gravity. Co-ordinates of centre of mass. Centre of mass of particles along a line, center of mass of system of particles in a plane, center of mass of system of particles in space. Centre of mass of rigid body with homogenous distribution of mass of a thin rod, circular ring, disc and sphere. Motion of centre of mass (Velocity and acceleration of center of mass) characteristics of centre of mass, laws of motion of the centre of mass, velocity and acceleration. Explosion – motion of the centre of mass of earth – moon system

2. COLLISIONS: Introduction – Elastic and inelastic collisions. Collisions in one dimension (elastic and inelastic) body at rest, bodies moving in same direction and opposite directions. Co- efficient of restitution definition. Equation for height attained for freely falling body after number of rebounds on floor.

2. GRAVITATION: Basic forces in nature; Nature of gravity; Relation between Universal gravitational constant (G) and acceleration due to gravity(g); variation of “g” with altitude, depth, latitude and shape of earth; Limitations of Newton’s third Law – Universal law of gravitation – Black Hole. Idea of inertial and noninertial frames – Inertial and gravitational masses – Escape velocity, orbital velocity and relation between them – Geo stationary Satellites, their uses, field and potential for uniform mass distribution.

UNIT – V1. SIMPLE HARMONIC MOTION: Definitions and examples – Expressions for displacement, velocity, acceleration, time period and frequency – Expressions for the time period of a simple pendulum and loaded spring – force constant , Expressions for the KE and PE of a body in SHM –Law of conservation of Energy in the case of simple pendulum.

UNIT – XI1. ELECTROSTATICS: Charges – conservation of charge and additive property of charges. Coulomb’s Law: Permittivity of Free Space and Permittivity of Medium -Force between two point charges. Force due to multiple charges – Principle of Superposition with examples. Electric field – Electric lines of force, their properties – Electric intensity definition – Electric intensity due to isolated charge and due to -multiple charges. Electrostatic Potential – Definition of Electrostatic Potential in an electric field – Potential due to single charge -multiple charges – Electrostatic potential energy – Relation between electrostatic potential and electric intensity. Electric Flux: Gauss’ Law: Electric Flux Definition Gauss’ Law – Statement of Gauss’ Law Application of Gauss’ Law to find electric intensity and electrostatic Potential due to continuous charge distribution of Infinite Long wire, InfinitePlane Sheet and Spherical Shell. Capacitance – Definition of Electrical Capacity of a Conductor – Capacitance – Dielectric constant – Definition of Condenser, its uses – Parallel plate Condenser – Formula for Capacitance of Parallel Plate Condenser, Dielectric – Dielectric Strength – Effect of dielectric on capacitance of capacitors. Capacitors in series and in parallel – derivation of the equivalent capacitance for the above cases. Energy stored in a Condenser – Effect of dielectric on Energy of Condenser – Types of capacitors – their uses.

UNIT- XII1. CURRENT ELECTRICITY: Electric current – Flow of Electric charges in a metallic conductor – Drift velocity and mobility – Relation between electric current and drift velocity. Ohm’s Law: Statement – Ohmic and Non Ohmic elements with examples-conductance-specific resistance-variation of resitivity with temperature-variation of resistance with temperature-thermistors. E.M.F. of Cell – Internal resistance and back E. M.F. – Difference between EMF of a Cell and potential difference. Electrical energy, Power definition of KW hr. Kirchhoffs laws: Statement of Kirchhoff’s voltage law – Kirchhoffs current law – Application to Wheatstone bridge – condition for balancing – Meter bridge – Determination of resistance of a conductor using meter bridge. Principle of Potentiometer determination of internal resistance and E.M.F. of a cell using potentiometer. Series and parallel combination of cells – Derivation of equivalent EMF for the above cases.

UNIT – XIII1. ELECTROMAGNETICS : Oersted’s experiment – Biot-savart Law – Ampere Law – Magnetic field near a long straight wire and magnetic field at the center of a circular coil carrying current (with derivation) – Field on the axis of a circular coil carrying current (with expressions only)Tangent Galvanometer – principle and working – Definition of reduction factor – force on a moving charge in a magnetic field – force on a current carrying conductor in a magnetic field – force between two long straight parallel conductors carrying current – definition of ampere – Fleming’s left hand rule-current loop as a magnetic dipole, force and torque on current loop in a uniform magnetic field – magnetic dipole moment of a revolving electron – principle , construction and working of a moving coil galvanometer –conversion of moving coil galvanometer into ammeter and voltmeter – comparison of M.C.G with T.G.Electromagnetic induction – Magnetic flux and induced emf- Faraday’s and Lenz’s Laws – Fleming’s right hand rule –self inductance – mutual inductance –principle of transformer. Growth and decay of charge in R.C.Circuit connected to D.C.source – Equations for charge on condenser – Current in inductor. Time constant – Definition and its significance. Alternating Currents– instantaneous, maximum and rms values of alternating current – alternating voltage applied to a pure resistor, pure inductor – pure capacitor – L-R, C-R and L-C-R (expressions for impedance and phase only).